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arXiv · 2512.03012

Note on Regularity theory for Nonlinear elliptic equations

Zhenye Qian
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Abstract

In this note, we present several seminal developments in the regularity theory of nonlinear (uniformly) elliptic equations, including the De Giorgi-Nash-Moser theory concerning the Hilbert 19th problem and variational equations, as well as the Krylov-Safonov and Evans-Safonov theories for fully nonlinear equations.

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Zhenye Qian. 2025-12-02. Note on Regularity theory for Nonlinear elliptic equations. https://arxiv.org/abs/2512.03012

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